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Finding the Fourth Proportional to 393,733.80, 590,687.10 and 194,149.80

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Solution

The fourth proportional to 393,733.80, 590,687.10 and 194,149.80 is: 291,267.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,733.80 : 590,687.10 = 194,149.80 : x
  2. Step 2: Convert to fraction form
    393,733.80/590,687.10 = 194,149.80/x
  3. Step 3: Cross multiply
    393,733.80x = 590,687.10 × 194,149.80
  4. Step 4: Simplify right side
    393,733.80x = 114,681,782,327.58
  5. Step 5: Solve for x
    x = 114,681,782,327.58/393,733.80
  6. Step 6: Final answer
    x = 291,267.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.